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Finding the Fourth Proportional to 213,676.76, 320,589.48 and 80,595.20

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Solution

The fourth proportional to 213,676.76, 320,589.48 and 80,595.20 is: 120,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,676.76 : 320,589.48 = 80,595.20 : x
  2. Step 2: Convert to fraction form
    213,676.76/320,589.48 = 80,595.20/x
  3. Step 3: Cross multiply
    213,676.76x = 320,589.48 × 80,595.20
  4. Step 4: Simplify right side
    213,676.76x = 25,837,973,258.50
  5. Step 5: Solve for x
    x = 25,837,973,258.50/213,676.76
  6. Step 6: Final answer
    x = 120,920.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.